Missing Money
1. **State the problem:** Three girls paid $100 each, totaling $300, for a motel room. The correct charge was $250, so the clerk gave $50 to the attendant to return to the girls. The attendant gave $10 back to each girl ($30 total) and kept $20. The girls effectively paid $270 ($90 each), and the attendant has $20. The question is: where is the missing $10?
2. **Analyze the payments:**
- Total initially paid: $300
- Correct room cost: $250
- Amount returned to girls: $30 ($10 each)
- Amount kept by attendant: $20
3. **Calculate the actual money flow:**
- Girls paid $300 initially.
- They got back $30, so net payment by girls is $300 - $30 = $270.
- Out of this $270, $250 went to the motel, $20 went to the attendant.
4. **Clarify the confusion:**
The mistake is in adding the $20 (attendant's money) to the $270 (girls' net payment). Instead, the $270 already includes the $20 kept by the attendant.
5. **Correct accounting:**
$$
\text{Girls' net payment} = 270 = 250 + 20
$$
The $250 is the motel's charge, and $20 is the attendant's tip.
6. **Conclusion:**
There is no missing $10. The error is in adding the $20 to the $270 instead of subtracting the $30 returned to the girls.
**Final answer:** The missing $10 is a result of incorrect addition; the $270 already includes the $20 kept by the attendant, so no money is missing.